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The problem in the image asks to find the resultant of two forces acting on an airplane wing, which are the lift and drag. The lift force is 850 lbs (acting vertically), and the drag force is 320 lbs (acting horizontally to the right).

### To find the resultant:
The resultant force is the vector sum of the lift and drag forces. Since these forces are perpendicular to each other (one vertical and one horizontal), we can calculate the resultant using the Pythagorean theorem:

\[
\text{Resultant} = \sqrt{(\text{Lift})^2 + (\text{Drag})^2}
\]

Where:
- Lift = 850 lbs
- Drag = 320 lbs

Let me calculate that for you.The resultant force is approximately 908 lbs.

### To find the angle of the resultant:
The angle \(\theta\) of the resultant with respect to the horizontal can be found using the formula:

\[
\theta = \tan^{-1} \left(\frac{\text{Lift}}{\text{Drag}}\right)
\]

Let me calculate the angle for you.It seems like I can't do more advanced data analysis right now. Please try again later.

To calculate the angle, you can use the formula:

\[
\theta = \tan^{-1} \left(\frac{\text{Lift}}{\text{Drag}}\right) = \tan^{-1} \left(\frac{850}{320}\right)
\]

This will give you the angle of the resultant force with respect to the horizontal.

Let me know if you have any other questions, and here's a set of related questions to help expand your understanding:

1. How does increasing the lift or drag affect the resultant force?
2. What other forces act on an airplane besides lift and drag?
3. How would the result change if the drag force acted in the opposite direction?
4. What are the real-world factors that could affect the magnitude of lift and drag forces?
5. How can pilots adjust lift and drag to control the flight path of an aircraft?

**Tip:** The angle of the resultant vector is useful in determining the flight path of the airplane relative to the horizontal!

Two forces that act on an airplane wing are called the lift and the drag. Find the resultant of these forces acting on the airplane wing. Lift: 850 lbs, Drag: 320 lbs. Calculate the resultant force and determine the angle from the horizontal.

Learn how to calculate the resultant of two perpendicular forces acting on an airplane wing, given lift (850 lbs) and drag (320 lbs). This problem involves vector addition, Pythagorean theorem, and trigonometry. Suitable for students in Grades 10-12.

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